A uniform disk of mass M and radius R starts from rest at the top of an incline at a vertical height h above the floor. If the disk rolls without slipping down the ramp then what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as g or n, etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.

College Physics
11th Edition
ISBN:9781305952300
Author:Raymond A. Serway, Chris Vuille
Publisher:Raymond A. Serway, Chris Vuille
Chapter1: Units, Trigonometry. And Vectors
Section: Chapter Questions
Problem 1CQ: Estimate the order of magnitude of the length, in meters, of each of the following; (a) a mouse, (b)...
icon
Related questions
Question

10

A uniform disk of mass \( M \) and radius \( R \) starts from rest at the top of an incline at a vertical height \( h \) above the floor. If the disk rolls without slipping down the ramp, what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as \( g \) or \( \pi \), etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.
Transcribed Image Text:A uniform disk of mass \( M \) and radius \( R \) starts from rest at the top of an incline at a vertical height \( h \) above the floor. If the disk rolls without slipping down the ramp, what is the magnitude of the velocity of the center of mass of the disk at the bottom of the incline? Answer in terms of any of the symbols given, as well as \( g \) or \( \pi \), etc. You may use any technique that you wish, but include a force diagram if you do a force analysis or indicate your choice of coordinate system and the mechanical energy at each location of interest if you do an energy technique. Note: you only need to do a single technique for the calculation.
Expert Solution
steps

Step by step

Solved in 2 steps with 2 images

Blurred answer
Knowledge Booster
Rotational Kinetic energy
Learn more about
Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, physics and related others by exploring similar questions and additional content below.
Recommended textbooks for you
College Physics
College Physics
Physics
ISBN:
9781305952300
Author:
Raymond A. Serway, Chris Vuille
Publisher:
Cengage Learning
University Physics (14th Edition)
University Physics (14th Edition)
Physics
ISBN:
9780133969290
Author:
Hugh D. Young, Roger A. Freedman
Publisher:
PEARSON
Introduction To Quantum Mechanics
Introduction To Quantum Mechanics
Physics
ISBN:
9781107189638
Author:
Griffiths, David J., Schroeter, Darrell F.
Publisher:
Cambridge University Press
Physics for Scientists and Engineers
Physics for Scientists and Engineers
Physics
ISBN:
9781337553278
Author:
Raymond A. Serway, John W. Jewett
Publisher:
Cengage Learning
Lecture- Tutorials for Introductory Astronomy
Lecture- Tutorials for Introductory Astronomy
Physics
ISBN:
9780321820464
Author:
Edward E. Prather, Tim P. Slater, Jeff P. Adams, Gina Brissenden
Publisher:
Addison-Wesley
College Physics: A Strategic Approach (4th Editio…
College Physics: A Strategic Approach (4th Editio…
Physics
ISBN:
9780134609034
Author:
Randall D. Knight (Professor Emeritus), Brian Jones, Stuart Field
Publisher:
PEARSON